A-Double Sequence Spaces and Double Statistical Convergence in 2-Normed Spaces Defined by Orlicz Functions

Abstract

The main aim of this paper is to introduce a new class of sequence spaces which arise from the notion of invariant means,
de la Valee-Pousin means and double lacunary sequence with respect to an Orlicz function in 2-normed space. Some properties
of the resulting sequence space were also examined. Further we study the concept of uniformly (¯;)-statistical convergence and
establish natural characterization for the underline sequence spaces.